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Finding the Fourth Proportional to 4,332.88, 6,500 and 1,868.40

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Solution

The fourth proportional to 4,332.88, 6,500 and 1,868.40 is: 2,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,332.88 : 6,500 = 1,868.40 : x
  2. Step 2: Convert to fraction form
    4,332.88/6,500 = 1,868.40/x
  3. Step 3: Cross multiply
    4,332.88x = 6,500 × 1,868.40
  4. Step 4: Simplify right side
    4,332.88x = 12,144,600
  5. Step 5: Solve for x
    x = 12,144,600/4,332.88
  6. Step 6: Final answer
    x = 2,802.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.